The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model
In this paper, least squares homotopy perturbation is presented as a straightforward and accurate method to compute approximate analytical solutions for systems of ordinary differential equations. The method is employed to solve a problem related to a laminar flow of a viscous fluid in a semi-porous...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/4/546 |
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| author | Mădălina Sofia Paşca Olivia Bundău Adina Juratoni Bogdan Căruntu |
| author_facet | Mădălina Sofia Paşca Olivia Bundău Adina Juratoni Bogdan Căruntu |
| author_sort | Mădălina Sofia Paşca |
| collection | DOAJ |
| description | In this paper, least squares homotopy perturbation is presented as a straightforward and accurate method to compute approximate analytical solutions for systems of ordinary differential equations. The method is employed to solve a problem related to a laminar flow of a viscous fluid in a semi-porous channel, which may be used to model the blood flow through a blood vessel, taking into account the effects of a magnetic field. The numerical computations show that the method is both easy to use and very accurate compared to the other methods previously used to solve the given problem. |
| first_indexed | 2024-03-09T21:30:40Z |
| format | Article |
| id | doaj.art-9614aab9d3ad4e36b163c358cbc430be |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:30:40Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9614aab9d3ad4e36b163c358cbc430be2023-11-23T20:56:24ZengMDPI AGMathematics2227-73902022-02-0110454610.3390/math10040546The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow ModelMădălina Sofia Paşca0Olivia Bundău1Adina Juratoni2Bogdan Căruntu3Department of Mathematics, Politehnica University Timişoara, 300006 Timişoara, RomaniaDepartment of Mathematics, Politehnica University Timişoara, 300006 Timişoara, RomaniaDepartment of Mathematics, Politehnica University Timişoara, 300006 Timişoara, RomaniaDepartment of Mathematics, Politehnica University Timişoara, 300006 Timişoara, RomaniaIn this paper, least squares homotopy perturbation is presented as a straightforward and accurate method to compute approximate analytical solutions for systems of ordinary differential equations. The method is employed to solve a problem related to a laminar flow of a viscous fluid in a semi-porous channel, which may be used to model the blood flow through a blood vessel, taking into account the effects of a magnetic field. The numerical computations show that the method is both easy to use and very accurate compared to the other methods previously used to solve the given problem.https://www.mdpi.com/2227-7390/10/4/546least squares homotopy perturbation methodsystem of nonlinear differential equationsapproximate analytical solutionsnon-Newtonian fluidmagnetohydrodynamics |
| spellingShingle | Mădălina Sofia Paşca Olivia Bundău Adina Juratoni Bogdan Căruntu The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model Mathematics least squares homotopy perturbation method system of nonlinear differential equations approximate analytical solutions non-Newtonian fluid magnetohydrodynamics |
| title | The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model |
| title_full | The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model |
| title_fullStr | The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model |
| title_full_unstemmed | The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model |
| title_short | The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model |
| title_sort | least squares homotopy perturbation method for systems of differential equations with application to a blood flow model |
| topic | least squares homotopy perturbation method system of nonlinear differential equations approximate analytical solutions non-Newtonian fluid magnetohydrodynamics |
| url | https://www.mdpi.com/2227-7390/10/4/546 |
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